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Stels [109]
3 years ago
11

Joe, working alone, takes 8 hours to mow a lawn. Sally, working alone, can mow the same lawn in 6 hours. How long does it take t

hem together to mow the lawn (each using their own seperate mower)?
Mathematics
1 answer:
tamaranim1 [39]3 years ago
6 0

Answer: 3 3/7 hours

Step-by-step explanation:

you need to find out how much work they can do in an hour.

let x represent the total collaborative work

1/8 + 1/6 = 1/x

3/24 + 4/24 = 1/x

7x = 24

x = 24/7 or 3 3/7 hours (in decimal form this is 3.4286)

I cannot guarantee this is correct but hope it helped

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Determine the ratio in which the point (–6, m) divides the join of A(–3, –1) and B(–8, 9). Also, find the value of m.
PSYCHO15rus [73]

Answer:

Ratio = 3 : 2 and value of m = 5.

Step-by-step explanation:

We are given the end points ( -3,-1 ) and ( -8,9 ) of a line and a point P = ( -6,m ) divides this line in a particular ratio.

Let us assume that it cuts the line in k : 1 ratio.

Then, the co-ordinates of P = ( \frac{-8k-3}{k+1},\frac{9k-1}{k+1} ).

But, \frac{-8k-3}{k+1} = -6

i.e. -8k-3 = -6k-6

i.e. -2k = -3

i.e. k = \frac{3}{2}

So, the ratio is k : 1 i.e \frac{3}{2} : 1 i.e. 3 : 2.

Hence, the ratio in which P divides the line is 3 : 2.

Also, \frac{9k-1}{k+1} = m where k = \frac{3}{2}

i.e. m = \frac{\frac{9 \times 3}{2}-1}{\frac{3}{2}-1}

i.e. m = \frac{27-2}{3+2}

i.e. m = \frac{25}{5}

i.e. m = 5.

Hence, the value of m is 5.

4 0
3 years ago
Read 2 more answers
The price of an item has been reduced by 70% the original price was $58 what’s the price of the item now ¿
Mamont248 [21]

Answer:$17.40  


Step-by-step explanation:

This is a very simple question. First since 70% is the amount of money removed, we do 100-70=30

30% is the price that remains. Change that into a fraction 30/100 and then multiply the original cost

30/100*58=17.4

The answer is $17.40  

6 0
3 years ago
How do you find the surface area of a cylinder with
skelet666 [1.2K]

Answer:

2111.15

Step-by-step explanation:

A=2π*r*h+2π*r^2

You plug in your height and radius into the formula for surface area of cylinder

7 0
3 years ago
Plzzz help I am stuck
ser-zykov [4K]

Answer:

don't worry I'm on my way step bro ! where'd you get stuck ?! (;

6 0
3 years ago
What is the commutative property of 9 + 8 equals 17
jeyben [28]
The commutative property of 9+8=17 is 8+9=17 because the commutative property states that it doesn't matter the order of the number but as long as u get the same answer.
6 0
3 years ago
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